Which one of the following is an exayac xmi5;rcywgn-32, mple of a vector quantity?

  Which of the following ope xe f-7.u rn6l 8cdw/zbeh,pm;rations will not change a vector?

  Which of the following is ayexklg;ww*8 bmr61ac5-8xw x n accurate statement?

  The resultant of two vectors is the smallest when89kax a.+w +pd1fdjaxef7-b)vn u1it the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectvec 2h5ntjxu.*p04r+ hy qjdc9x k72iively. When these two vectors are added, t*07h rtd9icyx5 q2xjvhjc.2ku +4penhe magnitude of the sum

  Two vectors, of magnitudes 20 and 50c95i )ntye mv0, are added. Which one of the following is a possible answer foe nc5myi90 )vtr the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pwq5 4x *edr6yvvz y2th*e*ve,m(w q-lull on an object in directions that are*6rvv ewv*4exdz*,qqtmy 52(y wehl- $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown ;a4x.cigt3y a, the unknown vector is

  Ignoring air resistance, the horizontal component of a projectile's vefc;.6kv5i kdcj7s /hb locity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e axqh1/4lk-guiguxr ;+vg,u 0kbove the horizontal. What is the horizontal component of its instantaneous velocity at the exact top of itu-g1xukh k+ lrg q;v gx,40iu/s trajectory?

  Ignoring air resistanc-7:jmg11 k3ckiaqye,c;v rwae, the horizontal component of a projectile's acceleration 3c1;7 r-cjiq:kw vkaegy1m, a

  A soccer ball is kicked with a velocity of 2.jew 13 7npuql5 m/s at an angle of $45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration vector of an object is dir k*kya4;c8iqaected anti-parallel to the velocity vec;iq8k*kyca 4 ator,

  If the acceleration of an obj6z;ub +s,-rm a;zmd1gx+n as dect is always directed perpendicular to its velocity,;zu;aadd6+ smbx snm ,gr1-+z

  At what angle should a water-gun be aimed in order for thes wonf4jtithxq eij21g; : 7rq.l5xb vk)l5-/ water to land with the greatest 7g1lif- x se ktjnowl2 5/qtjvq4bx;) hi5r:.horizontal range?

  An Olympic athlete throws a javelin at four diff42 -wug)gy.u m uj+orsyvf d:th6fh 8/erent angles above the horizontal, each with the same 28dgfo yth +/.:ufvs jhr)g-4y u6uw mspeed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a balfh;7hqa7g+d82tjy *di 1,)i f ufhj gzl for the second time. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compa7;*ihfu1 iqh d,aj2ff7yh )z8ggt+jd red to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s6nlsns77vj eg/ t+ 8o)7vkwhk at an angle of $35^{\circ}$ above the horizontal. What is the speed of the ball when it returns to the same horizontal level?

  When a football in a field goal attempt reaches its maximu9d9 r*6qha hfim height, how does its speed compare to i69 hir *af9qhdts initial speed?

  A stone is thrown horizontally from the top of a tower at the same instant a bvvbc2:( d m*+* ypjfcrall is dropped vertically. Which object is traveling faster when it hits the l*r d:( +v2jyp cb*fvmcevel ground below?

  A bullet is fired horizontally, and at the e: , vj/qeo;+(yqrchh; +; l6fgydr yhsame instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall hrq hygvyfcel q(y;d h+,r;j; 6/:oe +of the two bullets.

  A plane flying horizontall* f, jquck(elz2q)ro4 y at a speed of 50.0 m/s and at an elevation of 160 m drops a package. Two seconds later it drops a second package. k *qu,c2(lzore)4qf jHow far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second later a secon+ 5t jmng+etc,d package is dropped. Neglecting air resistane +t 5m,g+cjtnce, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontallr - odzyqm:;)iy at a constant speed. Neglecting air resistance, when the bi o;) rqmy-zd:omb hits the ground the horizontal location of the plane will

  The acceleration of gravity on kwz)i :;(v esathe Moon is only one-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would on Earth, the ball wouldzwa(s)k e;i:v land

  You are traveling at 55 m:jv8-x ndtbut7bl(0 ci/h in the +x axis relative to a straight, level road and pass a car traveling at 45 mi/h. The relative velbd :8v-txlncjtu(70 bocity of your car to the other car is

  You are trying to cross a riveyztzt((m0fwle jeq+0 q*dy 10j.9kuee.8dmnr that flows due south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank q1l e8te d ..0m(0e0eqftzw9 j k(yu+d zjmn*ydirectly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. / cupyve 2-zix3yfyn(z 7b/wo +gc -zm0:uol4 How much time will it take you to move 12 km 7(xnolp u/wc+ezo-2zu3 40fmi:yycyg-z/ v bdownstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8 wf0euw-b .9 (gl/ar)0zkrhpf- pn,.djeig3 r.0 m at an angle of 30 degrees below the +x axis. The y component of A i0e- u afg kr.,3zn. -p0w/hplwr)j9d(gfrb ie s

  If a ball is thrown with a velocity of 25 m/s at ab0ww:naj47 r kn angle of $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  If you walk 6.0 km in a straight line in a direction north of east azm(nps 4c,szuu x24fun9m2 (r u)v3lnnd you end up 2.0 km north and several kilometers east. How many degrees north oflr3nucxm 9(s muu z4(2 vsn) p4u,2nzf east have you walked?

  A butterfly moves with a speed of 12.0 m/n5 6xxa vdo(otxoe 31*s. The x component of its velocity is 8.00 m/s. The angle between the direction of its motion and th15 *do3vnx6ae tx( xooe x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level g quna zzx;-a+fj. +j;yround. At what angle is the Sun elevated abov-nqf j+a u;y+za; xjz.e the horizon?

  Two vectors A and il,2c74 sh*acb.nbmp 8.z cipB have components (0, 1) and (-1, 3), respectively. What are the components of the sum of these tw i,a7 i.s8lzp cc*.bnc2pm4bho vectors?

  Two vectors A and B have components (0, 1) and (-1, 3ss5pr;bb( 8wq ), respectively. What is magnitude of tw 5;pbrbs8(q she sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the magnxu95cgx.tckpjhh 1l6k ,7+f nitudel,5 1ktjxkgnc 79+.chh6uf xp of C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of its displacv7hi++,1n k+nca h 9y7brkojcement?bnkj7a +nchrki7h yvc+ ,9o1+

  Three vectors, expressed in Cartesian c991a*xc h;zzam atw6iv v /kg.oordinates, are
S = (-3.5,+4.5)
T = (0,-6.5)
U = (+5.5,-2.5)
What is the magnitude of the resultant vector S + T + U ?

  Three vectors, expressed arl9, jy*6szrin Cartesian coordinates, are
S = (-3.5,+4.5)
T = (0,-6.5)
U = (+5.5,-2.5)
What is the angle of the resultant vector S + T + U measured from the positive x axis?

  If vector A = (-3.0, -4.0) and vector B ho327; zywp4,ulzl as= (+3.0, -8.0), what is the magnitude of vector C = 7l4haz2s; w 3opu,ylzA - B ?

  A runner runs halfway around a circular path of radi(-leiz +;qhtz us 10 m. What is the displacement of ;z z(t qi-hle+the jogger?

  Two forces are acting on an object as shown in Fig. 3-1. What is* 5)gipc j35) 5lwpszulzw)yt0c3adg the magnitude ol53pwdc t05ly)*gg5upa)3 zj s) z ciwf the resultant force?

  Two forces are acting on an object as shown in Fig. 3-1. What is the directsszgd 5-f 7mtz0o(je 8ion of the rms78fs-ojtezd( z5g 0esultant force?

Vector A is 5.5 cm long and points along the x axis. Vector B is 7.5 cm long ,h0t +e8bwsw hand points ah+hwe,w 8tb s0t +30e to the negative x axis.
(a) Determine the x and y components of Vector A .
(b) Determine the x and y components of Vector B.
(c) Determine the sum of these two vectors in terms of components.
(d) Determine the sum of these two vectors in terms of magnitude and direction.

Vector A is 75.0 cm lonbm b/4nob54gwjluv9kde 650e (px2c sg and points at $30^{\circ}$ above the positive x axis. Vector B is 25.0 cm long
and points along the negative x axis. Vector C is 40.0 cm long and points at $45^{\circ}$ below the negative x axis.
(a) Determine the x and y components of Vector A .
(b) Determine the x and y components of Vector B .
(c) Determine the x and y components of Vector C .
(d) Determine the sum of these three vectors in terms of components.
(e) Determine the sum of these three vectors in terms of magnitude and direction.

  A stone is thrown horiz/cya7dg2 eorc +q/ 6f3fbgp/v ontally with an initial speed of 10 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 4.3 s. What ib2v f+3/ p7cgo/qagcedfr/y6s the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 10 m/s, foke7d b s/asu9;, s:aarom a bridge. It falls 20 me7;so ,asa9bs/a u: dk to the water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24dw)0u- az cvq)qtd+ 3j m above the ground, strikes the ground after traveling horizontally a distance of 18 m. W3wqdd0 v qj+)ta-) uczith what speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s at an ang/9icwwrsr;3gc nu7 6gle ofc6ng/ wigcr9us7 r ;3w $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump g/,ae jfzzvi8(- g,/sb xaxf k3oes into the jump with a speed of 12 m/s at an angle of -,f(akxgz3s,ze8/ bf jx i av/$20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocqz r6bek e. f97lw;0fgity of 60.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 60.0 m/s at q)l ff 5fv/3be ggsc;4an angle of $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at uf+o;.df a.cd an angle of $30^{\circ}$ below the horizontal with an initial velocity of 800 m/s from the top of a cliff 80 m high. How far from the base of the cliff does it strike the level ground below?

A projectile is shot horizontally at 23.4 m/s from th .f 6w4sdw6caze roof of a building 55.0 mzdcw af6 64.sw tall.
(a) Determine the time necessary for the projectile to reach the ground below.
(b) Determine the distance from the base of the building that the projectile lands.
(c) Determine the horizontal and vertical components of the velocity just before the projectile reaches the ground.

A projectile is fired from ground le/5 wb pix4tyuiuk97jfl 8h/wice4( +mvel with an initial speed of 55.6 m/s at an angle 9fukuj 5 h84x wiib/wy +lmcpe7i4(t/of $41.2^{\circ}$ above the horizontal.
(a) Determine the time necessary for the projectile to reach its maximum height.
(b) Determine the maximum height reached by the projectile.
(c) Determine the horizontal and vertical components of the velocity vector at the maximum height.
(d) Determine the horizontal and vertical components of the acceleration vector at the maximum height.

  On a calm day (no wind), you can run a 1500-m race at a velocity of 4.0 gab gb7xs)+jmy;+v+sm/s. If you ran the same race on a day when you had a constant headwind which slows your7v+b b+;ag ysxjg) sm+ speed by 2.0 m/s, the time it would take you to finish would be

  A plane has an air speed of 200 m/s due North, and is in a wind of 50.0 m/s to tkuh9a4mm s-p9 gu6i:xhe West. The plane's speed rea:4uis p9hkmg9u-xm 6 lative to the ground is

  A plane is flying due South .r)in6pur/sd ($270^{\circ}$) at 500 km/h. A wind blows from East to West ($180^{\circ}$) at 45.0 km/h. Find the plane's velocity with respect to the ground.

  An airplane with a speed of 120g(9e 5 idj fi(8blo;ur km/h is headed $30.0^{\circ}$ east of north in a wind blowing due west at 30.0 km/h. What is the speed of the plane relative to the ground?

  A fighter plane moving 200 m/s horizontally fires a project;. 1cek2xlcyc ile with speed 50.0 m/s in a forward directio1lc 2;eky.cc xn $30.0^{\circ}$ below the horizontal. What is the speed of the projectile with respect to a stationary observer on the ground?

  A boat, whose speed in still water is 8.t4b3od3czjkdn -k 58r0 m/s, is directed across a river with a current of 6.0 m/s. What is the speed of the boat as it crot8bk5kcn d3roj dz43-sses the river?

  The driver of a motorboat that can move at 10 m/s in stilfj s6b-l5uipmd/s*a5 1 2di wul water wishes to travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. How lad 2s1 plj u-idws f/umb6i55*ong will it take to cross the river?

  The driver of a motorboat that can o;zacg( r-x j/move at 10 m/s in still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the /og(jr; -zc axdriver head the boat?

  A swimmer heading directly across a river 200 m widnb x5ybh5pc )l j9zhb3*59+kaf-jjate reaches the opposite bank in 6fk*npyx+)z95tac9j3bj- h5 a5 b jhlb min 40 s. She is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading direcs/bb* fccyughz++*u 3tly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstreayuuhfc z +sgb*/3b*c+m 480 m. What is the speed of the current?

A boat, whose speed in still watce,82 bax l8zo0-evgw6gqi * yer is 1.75 m/s, must aim upstream at an angle of lvgo,b-x 0a zye8w6eg c2*8qi$26.3^{\circ}$ (with respect to a line perpendicular to the shore) in order to travel directly across the stream.
(a) Determine the speed of the current.
(b) Determine the resultant speed of the boat with respect to the shore.